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most citedRandom Currents and Continuity of Ising Model's Spontaneous Magnetization

112 citations · 823 across the 70 of their papers we have counts for

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Showing 2016Show all

6 papers · 1 filter

math.PR2016

Note on a one-dimensional system of annihilating particles

Vladas Sidoravicius, Laurent Tournier

We consider a system of annihilating particles where particles start from the points of a Poisson process on either the full-line or positive half-line and move at constant i.i.d.…

math.PR2016

Lipschitz Embeddings of Random Fields

Riddhipratim Basu, Vladas Sidoravicius, Allan Sly

We consider the problem of embedding one i.i.d.\ collection of Bernoulli random variables indexed by into an independent copy in an injective -Lipschitz manner. F…

math.PR2016★ 1 cited

Brochette percolation

Hugo Duminil-Copin, Marcelo R. Hilario, Gady Kozma +1

We study bond percolation on the square lattice with one-dimensional inhomogeneities. Inhomogeneities are introduced in the following way: A vertical column on the square lattice i…

math.PR2016

Phase transition for the Once-reinforced random walk on -like trees

Daniel Kious, Vladas Sidoravicius

In this short paper, we consider the Once-reinforced random walk with reinforcement parameter on trees with bounded degree which are transient for the simple random walk. On ea…

math.PR2016

Multi-Particle Diffusion Limited Aggregation

Vladas Sidoravicius, Alexandre Stauffer

We consider a stochastic aggregation model on Z^d. Start with particles located at the vertices of the lattice, initially distributed according to the product Bernoulli measure wit…

cond-mat.stat-mech2016★ 25 cited

Critical fragmentation properties of random drilling: How many random holes need to be drilled to collapse a wooden cube?

K. J. Schrenk, M. R. Hilário, V. Sidoravicius +4

A solid wooden cube fragments into pieces as we sequentially drill holes through it randomly. This seemingly straightforward observation encompasses deep and nontrivial geometrical…